Final answer:
The question confuses the concepts of range and variance in statistics. The range of ages is 60, but the variance of the data set cannot be determined without additional information, and none of the provided options are correct.
Step-by-step explanation:
The question is asking to identify the variance of a data set where the ages of individuals who voted in the last election range from 20 to 80. Variance is a measure of the dispersion of a set of data points around their mean value. However, without the actual data points or additional statistical details, it's not possible to calculate the variance. Instead, the question seems to be confusing the range of ages with variance. The range is the difference between the highest and lowest values, which in this case is 80 - 20 = 60. Since variance cannot be negative, the only possible answers listed are incorrect, as variance cannot be determined without more specific data. So technically, none of the provided options are correct regarding the variance of this data set.